Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations

Stefan Sandfeld, Thomas Hochrainer, Michael Zaiser, Peter Gumbsch

Research output: Contribution to journalArticlepeer-review

Abstract

Miniaturization of components and devices calls for an increased effort on physically motivated continuum theories, which can predict size-dependent plasticity by accounting for length scales associated with the dislocation microstructure. An important recent development has been the formulation of a ContinuumDislocationDynamics theory (CDD)that provides a kinematically consistent continuum description of the dynamics of curved dislocation systems [T.Hochrainer, et al., Philos. Mag. 87, 1261 (2007)]. In this work, we present a brief overview of dislocation-based continuum plasticity models. We illustrate the implementation of CDD by a numerical example, bending of a thin film, and compare with results obtained by three-dimensional discrete dislocation dynamics (DDD) simulation.
Original languageEnglish
Pages (from-to)623-632
Number of pages10
JournalJournal of Materials Research
Volume26
Issue number5
DOIs
Publication statusPublished - 2011

Keywords

  • Crystal
  • Dislocations
  • Defects

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